Information on Result #1033568
Linear OOA(4222, 82, F4, 3, 157) (dual of [(82, 3), 24, 158]-NRT-code), using construction X applied to AG(3;F,0P) ⊂ AG(3;F,56P) based on
- linear OOA(4164, 55, F4, 3, 164) (dual of [(55, 3), 1, 165]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(4141, 55, F4, 3, 108) (dual of [(55, 3), 24, 109]-NRT-code), using algebraic-geometric NRT-code AG(3;F,56P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(458, 27, F4, 3, 48) (dual of [(27, 3), 23, 49]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,32P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4219, 81, F4, 3, 154) (dual of [(81, 3), 24, 155]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(4216, 80, F4, 3, 151) (dual of [(80, 3), 24, 152]-NRT-code) | [i] | ||
| 3 | Linear OOA(4213, 79, F4, 3, 148) (dual of [(79, 3), 24, 149]-NRT-code) | [i] | ||
| 4 | Linear OOA(4210, 78, F4, 3, 145) (dual of [(78, 3), 24, 146]-NRT-code) | [i] | ||